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Finding the Fourth Proportional to 3,907.67, 5,861.44 and 985.95

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Solution

The fourth proportional to 3,907.67, 5,861.44 and 985.95 is: 1,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.67 : 5,861.44 = 985.95 : x
  2. Step 2: Convert to fraction form
    3,907.67/5,861.44 = 985.95/x
  3. Step 3: Cross multiply
    3,907.67x = 5,861.44 × 985.95
  4. Step 4: Simplify right side
    3,907.67x = 5,779,081.84
  5. Step 5: Solve for x
    x = 5,779,081.84/3,907.67
  6. Step 6: Final answer
    x = 1,478.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.